| 基于递归函数理论的任意曲线拟合方法的研究 |
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| 引用本文： | 李春 程新广. 基于递归函数理论的任意曲线拟合方法的研究[J]. 上海理工大学学报(社会科学版), 1998, 0(3): 225-228 |
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| 作者姓名： | 李春 程新广 |
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| 作者单位： | 上海理工大学动力工程学院 |
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| 摘 要： | 提出了一种任意曲线拟合的新方法,该方法以递归函数理论为基础,应用原始递归式来表示函数,求解过程中以递归迭代的主要计算方法,避免了用传统最小二乘法所致的病态矩阵现象,且在拟合多项式时具有自动确定其次数的优点。
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| 关 键 词： | 曲线拟合 递归函数理论 最小二乘拟合 |
A new appoach for curve fitting based on the basic theoryof recursive function |
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| Li Chun,Cheng Xin'guang. A new appoach for curve fitting based on the basic theoryof recursive function[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 1998, 0(3): 225-228 |
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| Authors: | Li Chun Cheng Xin'guang |
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| Abstract: | A new appoach for curve fitting based on the basic theory of recursive function ispresented. I11-condition matrix which exists usually in the least square fitting appears no morein this appoach. The power number of the fitted polynomials can be gotten automaticly.The theories of curve fitting with linear function, polynomial function and common functionare presented. Two examples to show the accuracy of the appoach are provided. |
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| Keywords: | curve fitting recursive function theory least square fitting |
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